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Finding the Third Proportional to 83,753,115.75 and 184,038,034.50

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Solution

The third proportional to 83,753,115.75 and 184,038,034.50 is: 404,402,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,753,115.75 : 184,038,034.50 = 184,038,034.50 : x
  2. Step 2: Convert to fraction form
    83,753,115.75/184,038,034.50 = 184,038,034.50/x
  3. Step 3: Cross multiply
    83,753,115.75x = 184,038,034.50 × 184,038,034.50
  4. Step 4: Simplify right side
    83,753,115.75x = 33,869,998,142,623,192
  5. Step 5: Solve for x
    x = 33,869,998,142,623,192/83,753,115.75
  6. Step 6: Final answer
    x = 404,402,843.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.